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Finding the Fourth Proportional to 2,562.78, 3,842.13 and 1,330.38

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Solution

The fourth proportional to 2,562.78, 3,842.13 and 1,330.38 is: 1,994.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.78 : 3,842.13 = 1,330.38 : x
  2. Step 2: Convert to fraction form
    2,562.78/3,842.13 = 1,330.38/x
  3. Step 3: Cross multiply
    2,562.78x = 3,842.13 × 1,330.38
  4. Step 4: Simplify right side
    2,562.78x = 5,111,492.91
  5. Step 5: Solve for x
    x = 5,111,492.91/2,562.78
  6. Step 6: Final answer
    x = 1,994.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.